Contractions of low-dimensional Lie algebras

DOI10.1063/1.2400834zbMath1112.17007arXivmath-ph/0608018OpenAlexW2040970687MaRDI QIDQ3442149

Maryna Nesterenko, Roman O. Popovych

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608018

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (32)

Contraction Admissible Pairs of Complex Six-Dimensional Nilpotent Lie Algebras ⋮ Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras ⋮ Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras ⋮ Bôcher contractions of conformally superintegrable Laplace equations ⋮ The variety of 7-dimensional 2-step nilpotent Lie algebras ⋮ Quadratic algebra contractions and second-order superintegrable systems ⋮ Classification of homogeneous CR-manifolds in dimension 4 ⋮ Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\) ⋮ Invariant functions and contractions of certain types of Lie algebras of lower dimensions ⋮ On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras ⋮ On S-expansions and other transformations of Lie algebras ⋮ Lowest-dimensional example on non-universality of generalized Inönü-Wigner contractions ⋮ On 3-Lie algebras with abelian ideals and subalgebras ⋮ Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras ⋮ Degenerations of Filippov algebras ⋮ The maximal dimension of unital subalgebras of the matrix algebra ⋮ Formal deformations, contractions and moduli spaces of Lie algebras ⋮ Contractions of Lie algebras with 2-dimensional generic coadjoint orbits ⋮ Degenerations of 8-dimensional 2-step nilpotent Lie algebras ⋮ Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein-Gordon equations ⋮ CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS ⋮ New results in the classification of filiform Lie algebras ⋮ Bôcher and abstract contractions of 2nd order quadratic algebras ⋮ Contractions with necessarily unbounded matrices ⋮ Degenerations of pre-Lie algebras ⋮ Degenerations of Jordan superalgebras ⋮ Twisted cocycles of Lie algebras and corresponding invariant functions ⋮ On degenerations of Lie superalgebras ⋮ Equivalence of diagonal contractions to generalized IW-contractions with integer exponents ⋮ Moduli spaces of low dimensional real Lie algebras ⋮ On solvable Lie groups of negative Ricci curvature ⋮ Degenerations of graph Lie algebras

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